Almost square and octahedral norms in tensor products of Banach spaces

被引：0
作者：
Johann Langemets
Vegard Lima
Abraham Rueda Zoca
机构：
[1] University of Tartu,Institute of Mathematics and Statistics
[2] NTNU,Facultad de Ciencias. Departamento de Análisis Matemático
[3] Norwegian University of Science and Technology,undefined
[4] Universidad de Granada,undefined
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2017年 / 111卷
关键词：
Octahedral norms; Almost squareness; Tensor products; Spaces of operators; Primary 46B20; Secondary 46B04; 46B28;
D O I：
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中图分类号：
学科分类号：
摘要：
The aim of this note is to study some geometrical properties like diameter two properties, octahedrality and almost squareness in the setting of (symmetric) tensor product spaces. In particular, we show that the injective tensor product of two octahedral Banach spaces is always octahedral, the injective tensor product of an almost square Banach space with any Banach space is almost square, and the injective symmetric tensor product of an octahedral Banach space is octahedral.
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页码：841 / 853
页数：12
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